GCF of 961/77, 275/45, 904/31
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 961/77, 275/45, 904/31 i.e 1/107415 easily. The following is the detailed procedure to determine the greatest common factor of fractions 961/77, 275/45, 904/31.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 961/77,275/45,904/31?
Given fractions are 961/77,275/45,904/31
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 961/77,275/45,904/31, numerators are 961,275,904
Denominators are 77,45,31
The GCF of 961,275,904 is 1 .
LCM of 77,45,31 is 107415.
The greatest common factor of 961/77,275/45,904/31 = [GCF of 961,275,904]/[LCM of 77,45,31]= 1/107415
Therefore, the GCF of 961/77,275/45,904/31 is 1/107415.
To find the highest common factor of 961,275,904, we have to find the factors of both numbers and list the highest common factor.
The factors of 961 are 1, 31, 961
The factors of 275 are 1, 5, 11, 25, 55, 275
The factors of 904 are 1, 2, 4, 8, 113, 226, 452, 904
The HCF of 961,275,904 is 1.
Lets's calculate GCF of 961,275,904
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 961,275,904 By Matching Biggest Common Factor Method
Now, list down the factors of 961
:1,31,961
Now, list down the factors of 275
:1,5,11,25,55,275
Now, list down the factors of 904
:1,2,4,8,113,226,452,904
Greatest Common Factor
We found the factors 961,275,904 . The biggest common factor number is the GCF number.
So the greatest common factor 961,275,904 is 1.
Lets's calculate LCM of 77,45,31
Given numbers has no common factors except 1. So, there LCM is their product i.e 107415
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107415
Therefore, the GCF of Fractions 961/77,275/45,904/31 is 1/107415
Least Common Multiple of 77,45,31 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 77,45,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,45,31) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,45,31) x common factors =1 x 1 = 1
LCM(77,45,31) = ( 77 × 45 × 31 ) / 1
LCM(77,45,31) = 107415 / 1
LCM(77,45,31) = 107415
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 961/77, 275/45, 904/31
1. What is the HCF of 961,275,904?
The HCF of 961,275,904 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 961/77, 275/45, 904/31?
Answer: GCF of Numerators as per given numbers 961/77, 275/45, 904/31 is
GCF of Numerators i.e. for 961,275,904 is 1
LCM of denominators i.e. for 77,45,31 is 107415.
Thus, GCF of Fractions is 1/107415.Finally, GCF of Fractions for 961/77, 275/45, 904/31 is 1/107415.